2015-09-13 18:58:11 +00:00
homotopy
========
Development of Homotopy Theory, including basic hits (higher inductive
types; see also [hit ](../hit/hit.md )). The following files are in this
folder (sorted such that files only import previous files).
* [cylinder ](cylinder.hlean ) (Mapping cylinders, defined using quotients)
* [susp ](susp.hlean ) (Suspensions, defined using pushouts)
* [red_susp ](red_susp.hlean ) (Reduced suspensions)
* [sphere ](sphere.hlean ) (Higher spheres, defined recursively using suspensions)
* [circle ](circle.hlean ) (defined as sphere 1)
* [torus ](torus.hlean ) (defined as a two-quotient)
* [interval ](interval.hlean ) (defined as the suspension of unit)
* [cellcomplex ](cellcomplex.hlean ) (general cell complexes)
* [connectedness ](connectedness.hlean )
2016-02-23 18:00:16 +00:00
* [cofiber ](cofiber.hlean )
* [smash ](smash.hlean )
2016-03-02 23:36:46 +00:00
* [homotopy_group ](homotopy_group.hlean ) (theorems about homotopy groups. The definition and basic facts about homotopy groups is in [algebra/homotopy_group ](../algebra/homotopy_group.hlean )).
